Search Results - "Rachunek, Lukas"

Barriers in impulsive antiperiodic problems by Rachůnková, Irena, Rachůnek, Lukáš

“…Some real world models are described by means of impulse control of nonlinear BVPs, where time instants of impulse actions depend on intersection points of…”
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A constructive approach to boundary value problems with state-dependent impulses by Rachůnková, Irena, Rachůnek, Lukáš, Rontó, András, Rontó, Miklós

“…We investigate the non-linear system of ordinary differential equationsu′(t)=f(t,u(t)),a.e.t∈[a,b],subject to the state-dependent impulse…”
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Homoclinic solutions of singular differential equations with $\phi$-Laplacian by Rachůnek, Lukáš, Rachůnková, Irena

“…A singular nonlinear initial value problem (IVP) with a $\phi$-Laplacian of the form $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in…”
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On four types of solutions of a second-order difference equation by Rachunek, Lukas

“…The second-order non-autonomous difference equation where h>0 is a parameter and f is continuous and has three real zeros L 0  < 0 < L is investigated. The…”
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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation by Rachunkova, Irena, Rachunek, Lukas

“…Singular differential equation (p(t)u′)′=p(t)f(u) is investigated. Here f is Lipschitz continuous on ℝ and has at least two zeros 0 and L>0 . The function p is…”
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Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics by Rachunek, Lukas, Rachunkova, Irena

“…The paper deals with the second-order non-autonomous difference equation x ( n + 1 ) = x ( n ) + ( n n + 1 ) 2 ( x ( n ) − x ( n − 1 ) + h 2 f ( x ( n ) ) ) ,…”
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First-order nonlinear differential equations with state-dependent impulses by Rachůnek, Lukáš, Rachůnková, Irena

“…The paper deals with the state-dependent impulsive problem z ′ ( t ) = f ( t , z ( t ) ) for a.e.  t ∈ [ a , b ] , z ( τ + ) − z ( τ ) = J ( τ , z ( τ ) ) , γ…”
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Approximation of differential problems with singularities and time discontinuities by Rachunek, Lukas, Rachunkova, Irena

“…The paper deals with the singular mixed boundary value problem ( t μ u ′ ( t ) ) ′ + t μ f ( t , u ( t ) ) = 0 , lim t → 0 + t μ u ′ ( t ) = 0 , u ( T ) = A ,…”
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Singular discrete and continuous mixed boundary value problems by RACHUNKOVA, Irena, RACHUNEK, Lukas

“…For each n ∈ N , n ≥ 2 , we prove the existence of a solution ( u 0 , … , u n ) ∈ R n + 1 of the singular discrete problem 1 h 2 Δ 2 u k − 1 + f ( t k , u k )…”
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Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations by Rachunkova, Irena, Rachunek, Lukas, Tomecek, Jan

“…Asymptotic properties of solutions of the singular differential equation (p(t)u′(t))′=p(t)f(u(t)) are described. Here, f is Lipschitz continuous on ℝ and has…”
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On a homoclinic point of an autonomous second-order difference equation by Rachunek, Lukás, Rachunková, Irena

“…The paper deals with the second-order difference equation where h>0 is a parameter and f has continuous first derivative and three zeros on the real line. The…”
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Singular discrete problem arising in the theory of shallow membrane caps by Rachunkova, Irena, Rachunek, Lukas

“…Assume that T ∈ (0,∞), , n ≥ 2 and h = T/n. We use the lower and upper functions method to prove the existence of a positive solution of the singular discrete…”
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Solvability of discrete Dirichlet problem via lower and upper functions method by Rachunkova, Irena, Rachunek, Lukas

“…We use the lower and upper functions method to prove the existence of a solution of the Dirichlet problem where , , is positive and is continuous. Provided f…”
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Singular discrete second order BVPs with p-Laplacian by Rachunkova, Irena, Rachunek, Lukas

“…We study singular discrete boundary value problems with mixed boundary conditions and with the p-Laplacian of the form where , , , p>1. We assume that f is…”
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Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics by Rachůnek, Lukáš, Rachůnková, Irena

“…The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation , , where is…”
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Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics by Rachunek, Lukás, Rachunková, Irena

“…The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation…”
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